Abstract
We study the appearance of instable behaviors (like strain localization bands) in elastic solids, as a consequence of micro-fracture. A two-scale approach of computational homogenization is considered. The macroscopic behavior is obtained by unit cell finite element computations. On the micro-level, we consider a granular structure with each grain made of a large strain elastic material. Inter-granular boundaries are modeled with cohesive laws, friction and unilateral contact. We show that decohesion between grains give rise to macro-instabilities, indicated by the loss of ellipticity, typical for deformation localization bands. The relation between the microscopic softening on inter-granular boundaries and the onset of macro-instabilities is pointed out on some numerical examples. The influence of the cohesive law and friction parameters is analyzed.
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© 2007 Springer-Verlag Berlin Heidelberg
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Bilbie, G., Dascalu, C., Chambon, R., Caillerie, D. (2007). Micro-Fracture Instabilities in Granular Solids. In: Exadaktylos, G.E., Vardoulakis, I.G. (eds) Bifurcations, Instabilities, Degradation in Geomechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-49342-6_11
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DOI: https://doi.org/10.1007/978-3-540-49342-6_11
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-49341-9
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